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The relative correlation between the magnitudes of elliptic flow ($v_2$) and triangular flow ($v_3$) has been accurately measured in nucleus-nucleus collisions at the LHC collider. As a function of the centrality of the collision, it…

Nuclear Theory · Physics 2025-12-08 Mubarak Alqahtani , Jean-Yves Ollitrault

Using a multiphase transport model (AMPT) we calculate the elliptic, $v_2$, and triangular, $v_3$, Fourier coefficients of the two-particle azimuthal correlation function in proton-nucleus (p+Pb) and peripheral nucleus-nucleus (Pb+Pb)…

High Energy Physics - Phenomenology · Physics 2014-12-19 Adam Bzdak , Guo-Liang Ma

A simple geometrical model with event-by-event fluctuations is suggested to study elliptical and triangular eccentricities in the initial state of relativistic heavy-ion collisions. This model describes rather well the ALICE and ATLAS data…

Nuclear Theory · Physics 2021-08-11 G. Kh. Eyyubova , V. L. Korotkikh , A. M. Snigirev , E. E. Zabrodin

The ALICE Collaboration has recently measured the correlations between amplitudes of anisotropic flow in different Fourier harmonics, referred to as symmetric cumulants. We derive approximate relations between symmetric cumulants involving…

Nuclear Theory · Physics 2016-07-27 Giuliano Giacalone , Li Yan , Jacquelyn Noronha-Hostler , Jean-Yves Ollitrault

We report on the measurement of various flow harmonics, $v_n$, with multi-particle cumulants, and present the results from a study of the inter-correlation among different order symmetry planes $\Psi_n$ via multi-particle mixed harmonic…

Nuclear Experiment · Physics 2015-06-11 Ante Bilandzic

The correlations between different moments of two flow amplitudes, extracted with the recently developed asymmetric cumulants, are measured in Pb$-$Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV recorded by the ALICE detector at the CERN…

Nuclear Experiment · Physics 2023-11-28 ALICE Collaboration

Correlations between moments of different flow coefficients are measured in Pb-Pb collisions at $\sqrt{s_{\rm NN}} = 5.02$ TeV recorded with the ALICE detector. These new measurements are based on multiparticle mixed harmonic cumulants…

Nuclear Experiment · Physics 2021-08-27 ALICE Collaboration

A detailed study of elliptical and triangular eccentricities in the initial state of relativistic heavy ion collisions is presented. A model of randomly distributed sources of energy density in the transverse plane based on the effective…

High Energy Physics - Phenomenology · Physics 2020-07-10 V. L. Korotkikh , A. M. Snigirev

Multi-particle azimuthal cumulants are measured as a function of centrality and transverse momentum using 470 $\mu$b$^{-1}$ of Pb+Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV with the ATLAS detector at the LHC. These cumulants provide…

Nuclear Experiment · Physics 2020-04-10 ATLAS Collaboration

We report the measurements of elliptic flow $v_{2}$, as well as higher harmonics triangular flow $v_{3}$ and quadrangular flow $v_{4}$, in $\sqrt{s_{_{NN}}} =$ 2.76 TeV Pb--Pb collisions, measured with the ALICE detector. We show that the…

Nuclear Experiment · Physics 2019-08-13 You Zhou

We present the first measurement of elliptic ($v_2$) and triangular ($v_3$) flow in high-multiplicity $^{3}$He$+$Au collisions at $\sqrt{s_{_{NN}}}=200$ GeV. Two-particle correlations, where the particles have a large separation in…

Nuclear Experiment · Physics 2019-08-13 A. Adare , S. Afanasiev , C. Aidala , N. N. Ajitanand , Y. Akiba , R. Akimoto , H. Al-Bataineh , J. Alexander , M. Alfred , H. Al-Ta'ani , K. R. Andrews , A. Angerami , K. Aoki , N. Apadula , L. Aphecetche , E. Appelt , Y. Aramaki , R. Armendariz , S. H. Aronson , J. Asai , H. Asano , E. C. Aschenauer , E. T. Atomssa , R. Averbeck , T. C. Awes , B. Azmoun , V. Babintsev , M. Bai , G. Baksay , L. Baksay , A. Baldisseri , N. S. Bandara , B. Bannier , K. N. Barish , P. D. Barnes , B. Bassalleck , A. T. Basye , S. Bathe , S. Batsouli , V. Baublis , C. Baumann , A. Bazilevsky , M. Beaumier , S. Beckman , S. Belikov , R. Belmont , J. Ben-Benjamin , R. Bennett , A. Berdnikov , Y. Berdnikov , J. H. Bhom , A. A. Bickley , D. S. Blau , J. G. Boissevain , J. S. Bok , H. Borel , K. Boyle , M. L. Brooks , D. Broxmeyer , J. Bryslawskyj , H. Buesching , V. Bumazhnov , G. Bunce , S. Butsyk , C. M. Camacho , S. Campbell , A. Caringi , P. Castera , B. S. Chang , W. C. Chang , J. -L. Charvet , C. -H. Chen , S. Chernichenko , C. Y. Chi , J. Chiba , M. Chiu , I. J. Choi , J. B. Choi , R. K. Choudhury , P. Christiansen , T. Chujo , P. Chung , A. Churyn , O. Chvala , V. Cianciolo , Z. Citron , C. R. Cleven , B. A. Cole , M. P. Comets , Z. Conesa del Valle , M. Connors , P. Constantin , M. Csanád , T. Csörgő , T. Dahms , S. Dairaku , I. Danchev , D. Danley , K. Das , A. Datta , M. S. Daugherity , G. David , M. K. Dayananda , M. B. Deaton , K. DeBlasio , K. Dehmelt , H. Delagrange , A. Denisov , D. d'Enterria , A. Deshpande , E. J. Desmond , K. V. Dharmawardane , O. Dietzsch , A. Dion , P. B. Diss , J. H. Do , M. Donadelli , L. D'Orazio , O. Drapier , A. Drees , K. A. Drees , A. K. Dubey , J. M. Durham , A. Durum , D. Dutta , V. Dzhordzhadze , S. Edwards , Y. V. Efremenko , J. Egdemir , F. Ellinghaus , W. S. Emam , T. Engelmore , A. Enokizono , H. En'yo , S. Esumi , K. O. Eyser , B. Fadem , N. Feege , D. E. Fields , M. Finger , M. Finger, , F. Fleuret , S. L. Fokin , Z. Fraenkel , J. E. Frantz , A. Franz , A. D. Frawley , K. Fujiwara , Y. Fukao , T. Fusayasu , S. Gadrat , C. Gal , P. Gallus , P. Garg , I. Garishvili , H. Ge , F. Giordano , A. Glenn , H. Gong , X. Gong , M. Gonin , J. Gosset , Y. Goto , R. Granier de Cassagnac , N. Grau , S. V. Greene , G. Grim , M. Grosse Perdekamp , Y. Gu , T. Gunji , L. Guo , H. -Å. Gustafsson , T. Hachiya , A. Hadj Henni , C. Haegemann , J. S. Haggerty , K. I. Hahn , H. Hamagaki , J. Hamblen , H. F. Hamilton , R. Han , S. Y. Han , J. Hanks , H. Harada , C. Harper , E. P. Hartouni , K. Haruna , S. Hasegawa , T. O. S. Haseler , K. Hashimoto , E. Haslum , R. Hayano , X. He , M. Heffner , T. K. Hemmick , T. Hester , H. Hiejima , J. C. Hill , R. Hobbs , M. Hohlmann , R. S. Hollis , W. Holzmann , K. Homma , B. Hong , T. Horaguchi , Y. Hori , D. Hornback , T. Hoshino , N. Hotvedt , J. Huang , S. Huang , T. Ichihara , R. Ichimiya , H. Iinuma , Y. Ikeda , K. Imai , J. Imrek , M. Inaba , Y. Inoue , A. Iordanova , D. Isenhower , L. Isenhower , M. Ishihara , T. Isobe , M. Issah , A. Isupov , D. Ivanishchev , Y. Iwanaga , B. V. Jacak , M. Jezghani , J. Jia , X. Jiang , J. Jin , O. Jinnouchi , D. John , B. M. Johnson , T. Jones , K. S. Joo , D. Jouan , D. S. Jumper , F. Kajihara , S. Kametani , N. Kamihara , J. Kamin , S. Kanda , M. Kaneta , S. Kaneti , B. H. Kang , J. H. Kang , J. S. Kang , H. Kanou , J. Kapustinsky , K. Karatsu , M. Kasai , D. Kawall , M. Kawashima , A. V. Kazantsev , T. Kempel , J. A. Key , V. Khachatryan , A. Khanzadeev , K. M. Kijima , J. Kikuchi , A. Kim , B. I. Kim , C. Kim , D. H. Kim , D. J. Kim , E. Kim , E. -J. Kim , G. W. Kim , M. Kim , S. H. Kim , Y. -J. Kim , Y. K. Kim , B. Kimelman , E. Kinney , K. Kiriluk , Á. Kiss , E. Kistenev , R. Kitamura , A. Kiyomichi , J. Klatsky , J. Klay , C. Klein-Boesing , D. Kleinjan , P. Kline , T. Koblesky , L. Kochenda , V. Kochetkov , B. Komkov , M. Konno , J. Koster , D. Kotchetkov , D. Kotov , A. Kozlov , A. Král , A. Kravitz , J. Kubart , G. J. Kunde , N. Kurihara , K. Kurita , M. Kurosawa , M. J. Kweon , Y. Kwon , G. S. Kyle , R. Lacey , Y. S. Lai , J. G. Lajoie , D. Layton , A. Lebedev , D. M. Lee , J. Lee , K. B. Lee , K. S. Lee , M. K. Lee , S Lee , S. H. Lee , S. R. Lee , T. Lee , M. J. Leitch , M. A. L. Leite , B. Lenzi , X. Li , P. Lichtenwalner , P. Liebing , S. H. Lim , L. A. Linden Levy , T. Liška , A. Litvinenko , H. Liu , M. X. Liu , B. Love , D. Lynch , C. F. Maguire , Y. I. Makdisi , M. Makek , A. Malakhov , M. D. Malik , A. Manion , V. I. Manko , E. Mannel , Y. Mao , L. Mašek , H. Masui , F. Matathias , M. McCumber , P. L. McGaughey , D. McGlinchey , C. McKinney , N. Means , A. Meles , M. Mendoza , B. Meredith , Y. Miake , T. Mibe , A. C. Mignerey , P. Mikeš , K. Miki , T. E. Miller , A. Milov , S. Mioduszewski , D. K. Mishra , M. Mishra , J. T. Mitchell , M. Mitrovski , Y. Miyachi , S. Miyasaka , S. Mizuno , A. K. Mohanty , P. Montuenga , H. J. Moon , T. Moon , Y. Morino , A. Morreale , D. P. Morrison , S. Motschwiller , T. V. Moukhanova , D. Mukhopadhyay , T. Murakami , J. Murata , A. Mwai , S. Nagamiya , K. Nagashima , Y. Nagata , J. L. Nagle , M. Naglis , M. I. Nagy , I. Nakagawa , H. Nakagomi , Y. Nakamiya , K. R. Nakamura , T. Nakamura , K. Nakano , S. Nam , C. Nattrass , P. K. Netrakanti , J. Newby , M. Nguyen , M. Nihashi , T. Niida , S. Nishimura , B. E. Norman , R. Nouicer , T. Novak , N. Novitzky , A. S. Nyanin , C. Oakley , E. O'Brien , S. X. Oda , C. A. Ogilvie , H. Ohnishi , M. Oka , K. Okada , O. O. Omiwade , Y. Onuki , J. D. Orjuela Koop , J. D. Osborn , A. Oskarsson , M. Ouchida , K. Ozawa , R. Pak , D. Pal , A. P. T. Palounek , V. Pantuev , V. Papavassiliou , B. H. Park , I. H. Park , J. Park , J. S. Park , S. Park , S. K. Park , W. J. Park , S. F. Pate , L. Patel , M. Patel , H. Pei , J. -C. Peng , H. Pereira , D. V. Perepelitsa , G. D. N. Perera , V. Peresedov , D. Yu. Peressounko , J. Perry , R. Petti , C. Pinkenburg , R. Pinson , R. P. Pisani , M. Proissl , M. L. Purschke , A. K. Purwar , H. Qu , J. Rak , A. Rakotozafindrabe , B. J. Ramson , I. Ravinovich , K. F. Read , S. Rembeczki , M. Reuter , K. Reygers , D. Reynolds , V. Riabov , Y. Riabov , E. Richardson , T. Rinn , D. Roach , G. Roche , S. D. Rolnick , A. Romana , M. Rosati , C. A. Rosen , S. S. E. Rosendahl , P. Rosnet , Z. Rowan , J. G. Rubin , P. Rukoyatkin , P. Ružička , V. L. Rykov , B. Sahlmueller , N. Saito , T. Sakaguchi , S. Sakai , K. Sakashita , H. Sakata , H. Sako , V. Samsonov , S. Sano , M. Sarsour , S. Sato , T. Sato , M. Savastio , S. Sawada , B. Schaefer , B. K. Schmoll , K. Sedgwick , J. Seele , R. Seidl , A. Yu. Semenov , V. Semenov , A. Sen , R. Seto , P. Sett , A. Sexton , D. Sharma , I. Shein , A. Shevel , T. -A. Shibata , K. Shigaki , H. H. Shim , M. Shimomura , K. Shoji , P. Shukla , A. Sickles , C. L. Silva , D. Silvermyr , C. Silvestre , K. S. Sim , B. K. Singh , C. P. Singh , V. Singh , S. Skutnik , M. Slunečka , M. Snowball , T. Sodre , A. Soldatov , R. A. Soltz , W. E. Sondheim , S. P. Sorensen , I. V. Sourikova , F. Staley , P. W. Stankus , E. Stenlund , M. Stepanov , A. Ster , S. P. Stoll , T. Sugitate , C. Suire , A. Sukhanov , T. Sumita , J. Sun , J. Sziklai , T. Tabaru , S. Takagi , E. M. Takagui , A. Takahara , A. Taketani , R. Tanabe , Y. Tanaka , S. Taneja , K. Tanida , M. J. Tannenbaum , S. Tarafdar , A. Taranenko , P. Tarján , E. Tennant , H. Themann , D. Thomas , T. L. Thomas , R. Tieulent , A. Timilsina , T. Todoroki , M. Togawa , A. Toia , J. Tojo , L. Tomášek , M. Tomášek , Y. Tomita , H. Torii , C. L. Towell , R. Towell , R. S. Towell , V-N. Tram , I. Tserruya , Y. Tsuchimoto , K. Utsunomiya , C. Vale , H. Valle , H. W. van Hecke , E. Vazquez-Zambrano , A. Veicht , J. Velkovska , R. Vértesi , A. A. Vinogradov , M. Virius , A. Vossen , V. Vrba , E. Vznuzdaev , M. Wagner , D. Walker , X. R. Wang , D. Watanabe , K. Watanabe , Y. Watanabe , Y. S. Watanabe , F. Wei , R. Wei , J. Wessels , A. S. White , S. N. White , D. Winter , C. L. Woody , R. M. Wright , M. Wysocki , B. Xia , W. Xie , L. Xue , S. Yalcin , Y. L. Yamaguchi , K. Yamaura , R. Yang , A. Yanovich , Z. Yasin , J. Ying , S. Yokkaichi , J. H. Yoo , J. S. Yoo , I. Yoon , Z. You , G. R. Young , I. Younus , H. Yu , I. E. Yushmanov , W. A. Zajc , O. Zaudtke , A. Zelenski , C. Zhang , S. Zhou , J. Zimamyi , L. Zolin , L. Zou

We summarize measurements of elliptic flow and higher order flow harmonics performed by the ATLAS experiment at the LHC. Results on event-averaged flow measurements and event-plane correlations in Pb+Pb collisions are discussed along with…

Nuclear Experiment · Physics 2014-06-24 Martin Spousta

Event-by-event fluctuations caused by quantum mechanical fluctuations in the wave function of colliding nuclei in ultrarelativistic heavy ion collisions were recently shown to be necessary for the simultaneous description of $R_{AA}$ as…

We report on the first measurement of the triangular $v_3$, quadrangular $v_4$, and pentagonal $v_5$ charged particle flow in Pb-Pb collisions at 2.76 TeV measured with the ALICE detector at the CERN Large Hadron Collider. We show that the…

Nuclear Experiment · Physics 2017-09-29 ALICE Collaboration

The initial geometry effect on collective flows, which are inherited from initial projectile structure, is studied in relativistic heavy-ion collisions of $^{12}$C + Au by using a multi-phase transport model (AMPT). Elliptic flow ($v_2$)…

Nuclear Theory · Physics 2017-06-21 S. Zhang , Y. G. Ma , J. H. Chen , W. B. He , C. Zhong

The rapidity dependence of elliptic, $v_2$, and triangular, $v_3$, flow coefficients in proton-nucleus (p+A) collisions is predicted in hydrodynamics and in a multi-phase transport model (AMPT). We find that $v_n$ ($n=2,3$) on a nucleus…

High Energy Physics - Phenomenology · Physics 2015-03-13 Piotr Bozek , Adam Bzdak , Guo-Liang Ma

We consider various methods of flow analysis in heavy ion collisions and compare experimental data on corresponding observables to the predictions of our saturation model proposed earlier. We demonstrate that, due to the nature of the…

Nuclear Theory · Physics 2009-11-07 Yuri V. Kovchegov , Kirill L. Tuchin

Higher order cumulants between the mean transverse momentum and elliptic flow are calculated in a relativistic viscous hydrodynamic model of relativistic heavy-ion collisions. The results of the hydrodynamic simulations are compared with…

Nuclear Theory · Physics 2026-05-27 Tribhuban Parida , Piotr Bożek

Recent results of the anisotropic flow measurements by the ALICE Collaboration at the LHC are reviewed. Directed, elliptic, triangular, and quadrangular flow are presented differentially vs. transverse momentum, pseudo-rapidity, and the…

Nuclear Experiment · Physics 2019-08-13 Ilya Selyuzhenkov

Measurements of the event-by-event correlation between elliptic flow ($v_2$) and the mean transverse momentum ($[p_{\rm T}]$) using the modified Pearson correlation coefficient $\rho(v_2^2,[p_{\rm T}])$ are reported in pp collisions at…

Nuclear Experiment · Physics 2026-03-16 ALICE Collaboration
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